Solve the equation if 0°≤x≤360°*tan x =√3

This is a trig relationship from one of our special triangles, the 30-60-90 triangle.

Tan x = the opposite side of angle x divided by the adjacent side of angle x

The tangent is √3 when x = 60° or π/3

However, in this problem the value of the tangent is negative. In which of the four quadrants is the tangent function negative?

This function is negative in the second and fourth quadrants or when x = 120 and 300 degrees (or 2pi/3 and 5pi/3)

***I am assuming that the negative sign should be outside of the square root sign***

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step-by-step explanation: